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Finding the Fourth Proportional to 1,154.97, 1,731.32 and 605.97

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Solution

The fourth proportional to 1,154.97, 1,731.32 and 605.97 is: 908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.97 : 1,731.32 = 605.97 : x
  2. Step 2: Convert to fraction form
    1,154.97/1,731.32 = 605.97/x
  3. Step 3: Cross multiply
    1,154.97x = 1,731.32 × 605.97
  4. Step 4: Simplify right side
    1,154.97x = 1,049,124.95
  5. Step 5: Solve for x
    x = 1,049,124.95/1,154.97
  6. Step 6: Final answer
    x = 908.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.